## Wave Sensing, Undersampling

Wavefield retrieval, manifold learning and data reduction Wavefield retrieval from surface array data There have been extensive efforts in developing data regularization strategies and...## Wave Packets: Nonlinear Approximation, Compression, Sparse Sampling

Multi-scale physics of seismic waves In building a detailed understanding of the propagation and scattering of waves, that is, their interaction with complex media...## Extended Isochron Rays

Microlocal analysis of seismic body waves and linearized inverse problems – Imaging A separated scale representation of variations in medium properties leads to the...## Downward Continuation Based Extended Imaging

Microlocal analysis of seismic body waves and linearized inverse problems – Imaging A separated scale representation of variations in medium properties leads to the...## Thermal Anomaly, Transition Zone, Hawaii

Microlocal analysis of seismic body waves and linearized inverse problems – Imaging A separated scale representation of variations in medium properties leads to the...## Core-Mantle Boundary, Post-Perovskite Phase Transition and D”

Microlocal analysis of seismic body waves and linearized inverse problems – Imaging A separated scale representation of variations in medium properties leads to the...## Scattering, Random Media and Interferometry

Multi-scale physics of seismic waves In building a detailed understanding of the propagation and scattering of waves, that is, their interaction with complex media...## Anisotropic surface-wave tomography – Tibetan plateau

Free oscillations, surface waves and spectral theory I revisited the construction and analysis of the relevant system of elasto-gravitational equations describing the free oscillations...## Carbonite Rock and Fracture

Fast algorithms, massively parallel computing Direct structured solvers and time-harmonic waves In the invere boundary value problem, to probe the Dirichlet-to-Neumann map, one needs...## Discontinuous Galerkin Method: Rough surface of a carbonate rock sample.

Fast algorithms, massively parallel computing Direct structured solvers and time-harmonic waves In the invere boundary value problem, to probe the Dirichlet-to-Neumann map, one needs...Scattering, Imaging and Inverse Problems; Theoretical and Computational Seismology

Main Fields

- Inverse problems and microlocal analysis, and applications in exploration seismology and global seismology, coupled to geodynamics
- Multi-dimensional imaging, inverse scattering and tomography
- Nonlinear inverse boundary value problems: direct and iterative reconstruction; geometric inverse problems
- Development of multiscale methods and nonlinear theories of generalized functions applied to scattering and inverse scattering in media of low regularity, highly discontinuous and random media
- Structured matrix based methods, and massively parallel algorithms
- Journey to the Center of the Earth »

Recent Publications

**‘Computing planetary interior normal modes with a highly parallel polynomial filtering eigensolver’**, SC ’18: Proceedings of the International Conference for High Performance Computing, Networking, Storage, and Analysis (2018) in print, with R. Li, Y. Xi and Y. Saad.**‘Reconstruction of piecewise smooth wave speeds using multiple scattering’**, Trans. AMS (2018) in print, with P. Caday, V. Katsnelson and G. Uhlmann.**‘Scattering control for the wave equation with unknown wavespeed’**, Archive for Rational Mechanics and Analysis (2018) in print, with P. Caday, V. Katsnelson and G. Uhlmann.

News

- 01/23/2019 - 01/25/2019
**MATH+X SYMPOSIUM ON INVERSE PROBLEMS AND DEEP LEARNING IN SPACE EXPLORATION** - 04/23/2018

Training machines in Earthly ways - 01/24/2018 - 01/26/2018

MATH+X SYMPOSIUM ON DATA SCIENCE AND INVERSE PROBLEMS IN GEOPHYSICS -
10/1/2017

PostDoc Position Opening -
10/1/2017

PhD Student Opening - All News »

Maarten V. De Hoop

**Simons Chair in Computational and Applied Mathematics and Earth Science**-
Rice University

2035 Duncan Hall

713-348-5723

mdehoop@rice.edu**Department of Mathematics** **Geo-Mathematical Imaging Group**

Energy and Environment Initiative

713-348-4319

| Rice University | CAAM | Inverse Problems | Wave Motion | SIAM J. Appl. Math. | ACHA | Comm. PDE | CPAM |

Geophysics | GJI | Geoph. Prosp. | Phys. Rev. Lett. | mathSciNet | ArXiv | GeoRef | curvelet.org |